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10012122011122 = 2711533836734759
BaseRepresentation
bin1001000110110010000011…
…1110011101010111110010
31022110011000222221012222021
42101230200332131113302
52303014311213323442
633143301053502054
72052231500626510
oct221544076352762
938404028835867
1010012122011122
113210131950430
1211584bb4a192a
135781a666c47a
1426883702b4b0
15125689264e67
hex91b20f9d5f2

10012122011122 has 128 divisors (see below), whose sum is σ = 19159506616320. Its totient is φ = 3810760611840.

The previous prime is 10012122011117. The next prime is 10012122011179. The reversal of 10012122011122 is 22111022121001.

It is a junction number, because it is equal to n+sod(n) for n = 10012122011096 and 10012122011105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2103826579 + ... + 2103831337.

It is an arithmetic number, because the mean of its divisors is an integer number (149683645440).

Almost surely, 210012122011122 is an apocalyptic number.

10012122011122 is a deficient number, since it is larger than the sum of its proper divisors (9147384605198).

10012122011122 is a wasteful number, since it uses less digits than its factorization.

10012122011122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5888.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 10012122011122 its reverse (22111022121001), we get a palindrome (32123144132123).

The spelling of 10012122011122 in words is "ten trillion, twelve billion, one hundred twenty-two million, eleven thousand, one hundred twenty-two".

Divisors: 1 2 7 11 14 22 53 77 106 154 371 383 583 673 742 766 1166 1346 2681 4081 4213 4711 4759 5362 7403 8162 8426 9422 9518 14806 20299 29491 33313 35669 40598 51821 52349 58982 66626 71338 103642 104698 142093 223289 249683 252227 257759 284186 366443 392359 446578 499366 504454 515518 732886 784718 1563023 1765589 1804313 1822697 2746513 2774497 2835349 3126046 3202807 3531178 3608626 3645394 5493026 5548994 5670698 6405614 12758879 13661227 19421479 19847443 20049667 22419649 25517758 27322454 35230877 38842958 39694886 40099334 44839298 70461754 95628589 96602941 140347669 150273497 169748771 191257178 193205882 246616139 280695338 300546994 339497542 493232278 676220587 1051914479 1062632351 1188241397 1226675081 1352441174 1867236481 2103828958 2125264702 2376482794 2453350162 3734472962 7438426457 8586725567 13070655367 13493425891 14876852914 17173451134 26141310734 26986851782 65013779293 94453981237 130027558586 188907962474 455096455051 715151572223 910192910102 1430303144446 5006061005561 10012122011122